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Question

Ram deposited ₹ 5000 in a bank which compounds interest half yearly at an annual rate of 6% and Rahim depoisted same amount in different back which compounds interests quarterly at the same rate. Who will get more interest after 1 year and by how much?

A
Ram, ₹ 2
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B
Ram, ₹4
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C
Rahim, ₹ 2
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D
Rahim, ₹ 4
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Solution

The correct option is C Rahim, ₹ 2
Ram deposited ₹ 5000 in a bank which compound interest half yearly.

annual rate = 6%

Since interest is compounded half yearly, Interest has to be calculated twice a year

Half yearly rate = 62 = 3%

Interest compounded half yearly here for Ram. So, t = 2

Amount after 1 year =5000(1+3/100)2
=5304.5

5305(.5 paisa rounded to 1 rupee)

***
Rahim deposited ₹ 5000 in a bank which compound interest quarterly.

Annual rate = 6%

Since interest is compounded quarterly, Interest has to be calculated four times a year

Quarterly rate = 64 = 1.5%

Amount after 1 year =5000(1+1.5/100)4
=5306.81

5307(.81 paisa rounded to 1 rupee)

The more amount Rahim would get =53075305= 2

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